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Unified treatment of structural effects in fluid‐solid reactions
Author(s) -
Bhatia S. K.,
Perlmutter D. D.
Publication year - 1983
Publication title -
aiche journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.958
H-Index - 167
eISSN - 1547-5905
pISSN - 0001-1541
DOI - 10.1002/aic.690290216
Subject(s) - diffusion , interpretation (philosophy) , product (mathematics) , nonlinear system , thermodynamics , chemistry , representation (politics) , work (physics) , layer (electronics) , reaction rate , materials science , mechanics , physics , mathematics , geometry , biochemistry , organic chemistry , quantum mechanics , politics , computer science , political science , law , programming language , catalysis
By considering reaction and diffusion through a product layer and concomitant movement of pore and reaction surfaces, a general rate equation is derived for fluid‐solid reactions. Application to the random pore model extends the prior results (Bhatia and Perlmutter, 1980, 1981a) to account for nonlinear concentration gradients in the product layer, by assuming that the product is deposited as overlapping cylindrical annulae. For the Petersen (1957) model, new results are derived which account for product layer diffusion. A comparison of numerical conversion‐time predictions from the grain model (Szekely et al., 1976), the Petersen model, and the random pore models suggests that they are more strongly affected by the representation of the reaction surface than by that of the pore surface. The model is applied to the data of Borgwardt (1970) on the SO 2 ‐lime reaction, and the results are compared with a previous interpretation using a linear concentration gradient approximation.